-11x^2+3x+11=0

Simple and best practice solution for -11x^2+3x+11=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for -11x^2+3x+11=0 equation:


Simplifying
-11x2 + 3x + 11 = 0

Reorder the terms:
11 + 3x + -11x2 = 0

Solving
11 + 3x + -11x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-11 the coefficient of the squared term: 

Divide each side by '-11'.
-1 + -0.2727272727x + x2 = 0

Move the constant term to the right:

Add '1' to each side of the equation.
-1 + -0.2727272727x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -0.2727272727x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -0.2727272727x + x2 = 0 + 1
-0.2727272727x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-0.2727272727x + x2 = 1

The x term is -0.2727272727x.  Take half its coefficient (-0.1363636364).
Square it (0.01859504133) and add it to both sides.

Add '0.01859504133' to each side of the equation.
-0.2727272727x + 0.01859504133 + x2 = 1 + 0.01859504133

Reorder the terms:
0.01859504133 + -0.2727272727x + x2 = 1 + 0.01859504133

Combine like terms: 1 + 0.01859504133 = 1.01859504133
0.01859504133 + -0.2727272727x + x2 = 1.01859504133

Factor a perfect square on the left side:
(x + -0.1363636364)(x + -0.1363636364) = 1.01859504133

Calculate the square root of the right side: 1.009254696

Break this problem into two subproblems by setting 
(x + -0.1363636364) equal to 1.009254696 and -1.009254696.

Subproblem 1

x + -0.1363636364 = 1.009254696 Simplifying x + -0.1363636364 = 1.009254696 Reorder the terms: -0.1363636364 + x = 1.009254696 Solving -0.1363636364 + x = 1.009254696 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1363636364' to each side of the equation. -0.1363636364 + 0.1363636364 + x = 1.009254696 + 0.1363636364 Combine like terms: -0.1363636364 + 0.1363636364 = 0.0000000000 0.0000000000 + x = 1.009254696 + 0.1363636364 x = 1.009254696 + 0.1363636364 Combine like terms: 1.009254696 + 0.1363636364 = 1.1456183324 x = 1.1456183324 Simplifying x = 1.1456183324

Subproblem 2

x + -0.1363636364 = -1.009254696 Simplifying x + -0.1363636364 = -1.009254696 Reorder the terms: -0.1363636364 + x = -1.009254696 Solving -0.1363636364 + x = -1.009254696 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1363636364' to each side of the equation. -0.1363636364 + 0.1363636364 + x = -1.009254696 + 0.1363636364 Combine like terms: -0.1363636364 + 0.1363636364 = 0.0000000000 0.0000000000 + x = -1.009254696 + 0.1363636364 x = -1.009254696 + 0.1363636364 Combine like terms: -1.009254696 + 0.1363636364 = -0.8728910596 x = -0.8728910596 Simplifying x = -0.8728910596

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.1456183324, -0.8728910596}

See similar equations:

| 382=x+(x+6) | | (4/11)x=28 | | 3x-108=0 | | 7k-4k=12 | | x+.7=-.2 | | 3x=2(2x-3) | | k/2+5=8 | | s-32=-48 | | v+(v-30.8)+(v+27.3)=202.9 | | 3x^3-7x^2+6x-2=0 | | y^2+2x+8y+13=0 | | 12x^2-24-9=0 | | -7/9x23/4 | | x+(x+6)=382 | | x=-9/2-5/3 | | 4.2/-0.15 | | x-7.7=-3.5 | | -9/2-5/3 | | -11x^2+20x=0 | | 3x^3-7x^2=2-6x | | -27/12/-1/6 | | x-50=32 | | 25m^2-9/16 | | r+27=14 | | X-9=10/10(11-7x) | | x+30.8+x+27.3=202.9 | | -1/6(x-18)+1/2(x+2)=-4 | | 2/7x+4=16/7x | | 12(t-3)+3t=5(3t+4)-9 | | -5/7+2/3 | | 6x^2+20=0 | | 8p-21=-35+6p |

Equations solver categories